Gulph Company reported the following results from the sale of 5,000 hammers in May: sales $200,000, variable costs $120,000, fixed costs $60,000, and net income $20,000. If Gulph increases the selling price of hammers by 10% on June 1, then hammers will have to be sold in June to maintain the same level of net income.

Number of units= 4,000 units

Explanation:

Giving the following information:

Sales $200,000

variable costs $120,000

fixed costs $60,000

net income $20,000.

We have to maintain a net income of $20,000.

First, we will calculate the selling price per unit and the unitary variable cost:

Selling price= 200,000/5,000= $40 per unit

Variable cost per unit= 120,000/5,000= $24 per unit

New selling price:

Selling price= $44

Contribution margin per unit= 44 - 24= $20

Now, we have to find the total contribution margin required:

Contribution margin required= net operating income + fixed costs

Contribution margin required= 20,000 + 60,000= 80,000

Number of units= total contribution margin/ unitary contribution margin

Number of units= 80,000/20= 4,000 units

month 1 start amount =$3287.90 interest=(3287.90x0.0145/12)3.97 total to pay=$3291.81 paid =$1200 balance =$2,091.87

month 2 starting amount= $2,091.87 interest =$25.28 total to pay =$2117.15 paid =$1200 balance $917.15

month 3 starting amount =$917.15 interest =$11.08 total to pay =$928.23 paid =$928.23 balance =$0 total to pay 1200+1200+928.23 = $3328.23 it will take 3 months to pay a total of $3328.23

answer; synthetic production system;